Algebra 1 GMAS Unit 1 & 2 Review

Front

What does the constraint 4x + 3y ≤ 24 represent in a real-world scenario?

Back

It represents the possible combinations of large pillows (x) and small pillows (y) that can fit in a box with a maximum capacity defined by the inequality.

Front

What is an ordered pair in the context of a graph?

Back

An ordered pair (x, y) represents a point on a graph where 'x' is the horizontal coordinate and 'y' is the vertical coordinate.

Front

What does it mean if a point is a solution to a constraint?

Back

It means that the point satisfies the inequality defined by the constraint.

Front

What is the significance of the line in the inequality x + y > 1?

Back

The line represents the boundary where the sum of x and y equals 1; points above the line satisfy the inequality.

Front

How do you determine if an ordered pair is a solution to an inequality?

Back

Substitute the values of the ordered pair into the inequality and check if the statement is true.

Front

What does the inequality y ≤ 3x represent graphically?

Back

It represents all the points on or below the line y = 3x in the coordinate plane.

Front

What is the difference between a solution and a non-solution in the context of inequalities?

Back

A solution satisfies the inequality, while a non-solution does not.

Front

What does the term 'constraint' mean in algebra?

Back

A constraint is a condition that must be satisfied in a mathematical problem, often represented by an inequality.

Front

What does the inequality y > 3x indicate about the relationship between y and x?

Back

It indicates that y is greater than 3 times the value of x.

Front

What is the meaning of the term 'solution set' in a system of inequalities?

Back

The solution set is the collection of all points that satisfy all inequalities in the system.